"covariance" meaning in English

See covariance in All languages combined, or Wiktionary

Noun

IPA: /kəʊˈvɛː.ɹi.əns/ [UK], /koʊˈvæɹ.i.əns/ [US] (note: without the Mary–marry–merry merger), /ˈkoʊˈvɛɹ.i.əns/ (note: US, Mary–marry–merry merger), /kəʉˈveː.ɹi.əns/ [General-Australian] Audio: LL-Q1860 (eng)-Grendelkhan-covariance.wav Forms: covariances [plural]
Etymology: From co- + variance. Etymology templates: {{prefix|en|co|variance}} co- + variance Head templates: {{en-noun}} covariance (plural covariances)
  1. (statistics) A statistical measure defined as scriptstyle operatorname Cov(X,Y)= operatorname E((X-μ)(Y-ν)) given two real-valued random variables X and Y, with expected values scriptstyle E(X),=,μ and scriptstyle E(Y),=,ν. Categories (topical): Statistics Translations (object-oriented programming): 協變 (Chinese Mandarin), 协变 (xiébiàn) (Chinese Mandarin), kovarianssi (Finnish), covariance [feminine] (French), Kovarianz [feminine] (German), 共変性 (kyōhensei) (alt: きょうへんせい) (Japanese), коварианттық (kovarianttyq) (Kazakh), коварианттылық (kovarianttylyq) (Kazakh), ковариантность (kovariantnostʹ) [feminine] (Russian) Translations (statistical measure): kobariantza (Basque), covariància [feminine] (Catalan), 協方差 (Chinese Mandarin), 协方差 (xiéfāngchā) (Chinese Mandarin), 共變異數 (Chinese Mandarin), 共变异数 (gòngbiànyìshù) (Chinese Mandarin), kovariance [feminine] (Czech), covariantie [feminine] (Dutch), kunvarianco (Esperanto), kovarianssi (Finnish), covariance [feminine] (French), Kovarianz [feminine] (German), सहप्रसरण (sahaprasraṇ) (Hindi), kovariansi (Indonesian), covarianza [feminine] (Italian), ковариация (kovariasiä) (Kazakh), ковариация (kovariatsiya) (Kyrgyz), kowariancja [feminine] (Polish), covariância [feminine] (Portuguese), covarianță [feminine] (Romanian), ковариа́ция (kovariácija) [feminine] (Russian), covariación [feminine] (Spanish), covarianza [feminine] (Spanish), kovarian (Sundanese), kaalig (Tagalog), kovaryans (Turkish)
    Sense id: en-covariance-en-noun-eOlo54Lo Categories (other): English entries with incorrect language header, English terms prefixed with co-, Entries with translation boxes, Pages with 2 entries, Terms with Basque translations, Terms with Catalan translations, Terms with Czech translations, Terms with Dutch translations, Terms with Esperanto translations, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Hindi translations, Terms with Indonesian translations, Terms with Italian translations, Terms with Japanese translations, Terms with Kazakh translations, Terms with Kyrgyz translations, Terms with Mandarin translations, Terms with Polish translations, Terms with Portuguese translations, Terms with Romanian translations, Terms with Russian translations, Terms with Spanish translations, Terms with Sundanese translations, Terms with Tagalog translations, Terms with Turkish translations Disambiguation of English entries with incorrect language header: 46 54 Disambiguation of English terms prefixed with co-: 53 47 Disambiguation of Entries with translation boxes: 60 40 Disambiguation of Pages with 2 entries: 48 42 8 2 Disambiguation of Terms with Basque translations: 59 41 Disambiguation of Terms with Catalan translations: 59 41 Disambiguation of Terms with Czech translations: 62 38 Disambiguation of Terms with Dutch translations: 56 44 Disambiguation of Terms with Esperanto translations: 59 41 Disambiguation of Terms with Finnish translations: 59 41 Disambiguation of Terms with French translations: 57 43 Disambiguation of Terms with German translations: 56 44 Disambiguation of Terms with Hindi translations: 62 38 Disambiguation of Terms with Indonesian translations: 57 43 Disambiguation of Terms with Italian translations: 58 42 Disambiguation of Terms with Japanese translations: 56 44 Disambiguation of Terms with Kazakh translations: 59 41 Disambiguation of Terms with Kyrgyz translations: 59 41 Disambiguation of Terms with Mandarin translations: 60 40 Disambiguation of Terms with Polish translations: 59 41 Disambiguation of Terms with Portuguese translations: 56 44 Disambiguation of Terms with Romanian translations: 57 43 Disambiguation of Terms with Russian translations: 58 42 Disambiguation of Terms with Spanish translations: 56 44 Disambiguation of Terms with Sundanese translations: 59 41 Disambiguation of Terms with Tagalog translations: 59 41 Disambiguation of Terms with Turkish translations: 60 40 Topics: mathematics, sciences, statistics Disambiguation of 'object-oriented programming': 73 27 Disambiguation of 'statistical measure': 100 0
  2. (object-oriented programming) The conversion of data types from wider to narrower in certain situations. Categories (topical): Object-oriented programming
    Sense id: en-covariance-en-noun-ACO8C9Xn Categories (other): English entries with incorrect language header, English terms prefixed with co-, Pages with 2 entries Disambiguation of English entries with incorrect language header: 46 54 Disambiguation of English terms prefixed with co-: 53 47 Disambiguation of Pages with 2 entries: 48 42 8 2
The following are not (yet) sense-disambiguated
Derived forms: autocovariance, covariance function, covariance mapping, covariance matrix, crosscovariance, eddy covariance, isocovariance, subcovariance Related terms: covariant

Inflected forms

Alternative forms

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      "_dis1": "0 0",
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      "_dis1": "0 0",
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      "_dis1": "0 0",
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          "ref": "2002, Karl G. Jöreskog, Dag Sörbom, PRELIS 2 User's Reference Guide, Scientific Software International, page 28:",
          "text": "The elements of such a correlation matrix do not have asymptotic variances and covariances of the form (1.2), even if S has a Wishart distribution.",
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          "ref": "1997, Michael Patrick Allen, Understanding Regression Analysis, Plenum Press, page 31:",
          "text": "Consequently, it can be shown that a covariance of two binary variables measures the extent to which the observed joint distribution of these variables differs from their expected joint distribution under the assumption that they are statistically independent.",
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          "ref": "2005, Steven J. Janke, Frederick Tinsley, Introduction to Linear Models and Statistical Inference, Wiley, page 133:",
          "text": "The covariance of X and Y is the expected value of the product of two random variables, X − E(X) and Y − E(Y).[…]If two random variables tend to act like opposites, one is high when the other is low and vice versa, then the covariance will be negative. If two random variables tend to be high and low at the same time, then the covariance will be positive. In fact, the covariance measures the extent of a linear relationship between the two random variables.",
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          "_dis1": "100 0",
          "code": "eu",
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          "sense": "statistical measure",
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          "_dis1": "100 0",
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          "sense": "statistical measure",
          "word": "協方差"
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          "_dis1": "100 0",
          "code": "cmn",
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    },
    {
      "ipa": "/kəʉˈveː.ɹi.əns/",
      "tags": [
        "General-Australian"
      ]
    }
  ],
  "word": "covariance"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms prefixed with co-",
    "Entries with translation boxes",
    "Pages with 2 entries",
    "Terms with Basque translations",
    "Terms with Catalan translations",
    "Terms with Czech translations",
    "Terms with Dutch translations",
    "Terms with Esperanto translations",
    "Terms with Finnish translations",
    "Terms with French translations",
    "Terms with German translations",
    "Terms with Hindi translations",
    "Terms with Indonesian translations",
    "Terms with Italian translations",
    "Terms with Japanese translations",
    "Terms with Kazakh translations",
    "Terms with Kyrgyz translations",
    "Terms with Mandarin translations",
    "Terms with Polish translations",
    "Terms with Portuguese translations",
    "Terms with Romanian translations",
    "Terms with Russian translations",
    "Terms with Spanish translations",
    "Terms with Sundanese translations",
    "Terms with Tagalog translations",
    "Terms with Turkish translations"
  ],
  "derived": [
    {
      "word": "autocovariance"
    },
    {
      "word": "covariance function"
    },
    {
      "word": "covariance mapping"
    },
    {
      "word": "covariance matrix"
    },
    {
      "word": "crosscovariance"
    },
    {
      "word": "eddy covariance"
    },
    {
      "word": "isocovariance"
    },
    {
      "word": "subcovariance"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "variance"
      },
      "expansion": "co- + variance",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + variance.",
  "forms": [
    {
      "form": "covariances",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "covariance (plural covariances)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "covariant"
    }
  ],
  "senses": [
    {
      "categories": [
        "English terms with quotations",
        "en:Statistics"
      ],
      "examples": [
        {
          "ref": "2002, Karl G. Jöreskog, Dag Sörbom, PRELIS 2 User's Reference Guide, Scientific Software International, page 28:",
          "text": "The elements of such a correlation matrix do not have asymptotic variances and covariances of the form (1.2), even if S has a Wishart distribution.",
          "type": "quote"
        },
        {
          "ref": "1997, Michael Patrick Allen, Understanding Regression Analysis, Plenum Press, page 31:",
          "text": "Consequently, it can be shown that a covariance of two binary variables measures the extent to which the observed joint distribution of these variables differs from their expected joint distribution under the assumption that they are statistically independent.",
          "type": "quote"
        },
        {
          "ref": "2005, Steven J. Janke, Frederick Tinsley, Introduction to Linear Models and Statistical Inference, Wiley, page 133:",
          "text": "The covariance of X and Y is the expected value of the product of two random variables, X − E(X) and Y − E(Y).[…]If two random variables tend to act like opposites, one is high when the other is low and vice versa, then the covariance will be negative. If two random variables tend to be high and low at the same time, then the covariance will be positive. In fact, the covariance measures the extent of a linear relationship between the two random variables.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A statistical measure defined as scriptstyle operatorname Cov(X,Y)= operatorname E((X-μ)(Y-ν)) given two real-valued random variables X and Y, with expected values scriptstyle E(X),=,μ and scriptstyle E(Y),=,ν."
      ],
      "links": [
        [
          "statistics",
          "statistics"
        ],
        [
          "statistical",
          "statistical"
        ],
        [
          "measure",
          "measure"
        ],
        [
          "real",
          "real number"
        ],
        [
          "random variable",
          "random variable"
        ],
        [
          "expected value",
          "expected value"
        ]
      ],
      "raw_glosses": [
        "(statistics) A statistical measure defined as scriptstyle operatorname Cov(X,Y)= operatorname E((X-μ)(Y-ν)) given two real-valued random variables X and Y, with expected values scriptstyle E(X),=,μ and scriptstyle E(Y),=,ν."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "statistics"
      ]
    },
    {
      "categories": [
        "English terms with quotations",
        "en:Object-oriented programming"
      ],
      "examples": [
        {
          "text": "Coordinate term: contravariance"
        },
        {
          "ref": "2014, Benjamin J. Evans, David Flanagan, Java in a Nutshell, O'Reilly, →ISBN, page 149:",
          "text": "As we will see in Chapter 8, we see both covariance and contravariance throughout the Java Collections. They largely exist to ensure that the generics just “do the right thing” and behave in a manner that should not surprise the developer.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The conversion of data types from wider to narrower in certain situations."
      ],
      "links": [
        [
          "object-oriented programming",
          "object-oriented programming"
        ],
        [
          "conversion",
          "conversion"
        ],
        [
          "data type",
          "data type"
        ]
      ],
      "qualifier": "object-oriented programming",
      "raw_glosses": [
        "(object-oriented programming) The conversion of data types from wider to narrower in certain situations."
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/kəʊˈvɛː.ɹi.əns/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/koʊˈvæɹ.i.əns/",
      "note": "without the Mary–marry–merry merger",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˈkoʊˈvɛɹ.i.əns/",
      "note": "US, Mary–marry–merry merger"
    },
    {
      "audio": "LL-Q1860 (eng)-Grendelkhan-covariance.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/3/3a/LL-Q1860_%28eng%29-Grendelkhan-covariance.wav/LL-Q1860_%28eng%29-Grendelkhan-covariance.wav.mp3",
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    },
    {
      "ipa": "/kəʉˈveː.ɹi.əns/",
      "tags": [
        "General-Australian"
      ]
    }
  ],
  "translations": [
    {
      "code": "eu",
      "lang": "Basque",
      "sense": "statistical measure",
      "word": "kobariantza"
    },
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "covariància"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "statistical measure",
      "word": "協方差"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "xiéfāngchā",
      "sense": "statistical measure",
      "word": "协方差"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "statistical measure",
      "word": "共變異數"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "gòngbiànyìshù",
      "sense": "statistical measure",
      "word": "共变异数"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "kovariance"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "covariantie"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "statistical measure",
      "word": "kunvarianco"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "statistical measure",
      "word": "kovarianssi"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "covariance"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "Kovarianz"
    },
    {
      "code": "hi",
      "lang": "Hindi",
      "roman": "sahaprasraṇ",
      "sense": "statistical measure",
      "word": "सहप्रसरण"
    },
    {
      "code": "id",
      "lang": "Indonesian",
      "sense": "statistical measure",
      "word": "kovariansi"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "covarianza"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "kovariasiä",
      "sense": "statistical measure",
      "word": "ковариация"
    },
    {
      "code": "ky",
      "lang": "Kyrgyz",
      "roman": "kovariatsiya",
      "sense": "statistical measure",
      "word": "ковариация"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "kowariancja"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "covariância"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "covarianță"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "kovariácija",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "ковариа́ция"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "covariación"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "statistical measure",
      "tags": [
        "feminine"
      ],
      "word": "covarianza"
    },
    {
      "code": "su",
      "lang": "Sundanese",
      "sense": "statistical measure",
      "word": "kovarian"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "statistical measure",
      "word": "kaalig"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "statistical measure",
      "word": "kovaryans"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "object-oriented programming",
      "word": "協變"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "xiébiàn",
      "sense": "object-oriented programming",
      "word": "协变"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "object-oriented programming",
      "word": "kovarianssi"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "object-oriented programming",
      "tags": [
        "feminine"
      ],
      "word": "covariance"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "object-oriented programming",
      "tags": [
        "feminine"
      ],
      "word": "Kovarianz"
    },
    {
      "alt": "きょうへんせい",
      "code": "ja",
      "lang": "Japanese",
      "roman": "kyōhensei",
      "sense": "object-oriented programming",
      "word": "共変性"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "kovarianttyq",
      "sense": "object-oriented programming",
      "word": "коварианттық"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "kovarianttylyq",
      "sense": "object-oriented programming",
      "word": "коварианттылық"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "kovariantnostʹ",
      "sense": "object-oriented programming",
      "tags": [
        "feminine"
      ],
      "word": "ковариантность"
    }
  ],
  "word": "covariance"
}

Download raw JSONL data for covariance meaning in English (9.2kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.